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Age 14 to 16 Short
Challenge Level

The mean of the set of numbers 8, 4, 5, 4,

,

and 6 is 6.

If another

is added to the set, then the mean is still 6.

What numbers do

and

represent?

This problem is adapted from the World Mathematics Championships

You can find more short problems, arranged by curriculum topic, in our short problems collection.